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If convection is present, kef rather than k are used in the above equation. This distribution is true with the exception of the terminal transient region where a rapid increase in concentration occurs. 14). The composition in the final transient can be calculated with Scheil’s equation. 14. Solute redistribution during zone melting after a single path. 15. If the partition coefficient is low, concentration is reduced fast in a few passes. On the contrary, if the partition coefficient is close to unity, a large number of passes are required for purification.

During partitionless solidification ( C S* = C L* ), a thermodynamic temperature exists which is the highest interface temperature at which partitionless solidification can occur. This temperature is called the To temperature, and is the temperature at which the molar free energies of the solid and liquid phases are equal for the given composition. The locus of To over a range of compositions constitutes a To curve. The liquid and solid phase compositions are equal along the To curve. 14. They can be used to evaluate the possibility of extension of solubility by rapid melt quenching.

If the partition coefficient is low, concentration is reduced fast in a few passes. On the contrary, if the partition coefficient is close to unity, a large number of passes are required for purification. 15. Metal purification as a result of successive passes. final zone Commercial applications of zone melting include refining of metals, crystal growth, and fabrication of superconductors. 5). 1 49 Fluid dynamics during mold filling Fluidity of molten metals It is generally understood that metal flow through the mold improves as fluidity increases.

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